An alternative dynamical systems formulation for \(f(R)\)  gravity was introduced by [1]} to address the issues present in the standard expansion-normalized formulation. Since the dynamical variables in Sec.  are defined such that \(H\ne 0\) , finite cosmological evolutions involving static states, cosmological bounces or recollapses are not possible in this formulation. In order to pull any solutions at infinity into a finite phase space, a new positive normalisation is defined to confine all global dynamics to a simply-visualised region.
